Speaker: Yusuke Isono (Kyoto Univ.)

Title: Free independence in ultraproduct von Neumann algebras and applications

Time/Date: 4:30-6:00, Wed. October 22, 2014

Room: 122

Abstract: We generalize Popa's free independence result for ultra products of II₁ factors to the framework of type III factors with large centralizer algebras. Then we give two applications. First, we give a direct proof of stability under free product of QWEP for von Neumann algebras. Second, we give a new class of inclusions of von Neumann algebras with relative Dixmier property. This is a joint work with C. Houdayer.